Journal ArticleDOI
Convergence analysis of self-adaptive equalizers
Odile Macchi,E. Eweda +1 more
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A theoretical analysis of self-adaptive equalization for data-transmission is carried out starting from known convergence results for the corresponding trained adaptive filter and it can be proved that the algorithm is bounded.Abstract:
A theoretical analysis of self-adaptive equalization for data-transmission is carried out starting from known convergence results for the corresponding trained adaptive filter. The development relies on a suitable ergodicity model for the sequence of observations at the output of the transmission channel. Thanks to the boundedness of the decision function used for data recovery, it can be proved that the algorithm is bounded. Strong convergence results can be reached when a perfect (noiseless) equalizer exists: the algorithm will converge to it if the eye pattern is initially open. Otherwise convergence may take place towards certain other stationary points of the algorithm for which domains of attraction have been defined. Some of them will result in a poor error rate. The case of a noisy channel exhibits limit points for the algorithm that differ from those of the classical (trained) algorithm. The stronger the noise, the greater the difference is. One of the principal results of this study is the proof of the stability of the usual decision feedback algorithms once the learning period is over.read more
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Journal ArticleDOI
Adaptive equalization
TL;DR: In this article, the authors give an overview of the current state of the art in adaptive equalization and discuss the convergence and steady-state properties of least mean square (LMS) adaptation algorithms.
Journal ArticleDOI
New criteria for blind deconvolution of nonminimum phase systems (channels)
Ofir Shalvi,E. Weinstein +1 more
TL;DR: A necessary and sufficient condition for blind deconvolution (without observing the input) of nonminimum-phase linear time-invariant systems (channels) is derived and several optimization criteria are proposed, and their solution is shown to correspond to the desired response.
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Authors' Reply to Comments on 'New criteria for blind deconvolution of nonminimum phase systems (channels)'.
Ofir Shalvi,E. Weinstein +1 more
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Blind Equalization and Carrier Recovery Using a "Stop-and-Go" Decision-Directed Algorithm
G. Picchi,Giancarlo Prati +1 more
TL;DR: It is shown that the standard decision-directed estimatedgradient adaptation algorithm for joint MSE equalization and carrier recovery can be turned into an algorithm providing effective blind convergence in the MSE sense, usable in the closed-eye startup phase with no need of a known training sequence.
Journal ArticleDOI
Blind system identification
TL;DR: A number of recently developed concepts and techniques for BSI, which include the concept of blind system identifiability in a deterministic framework, the blind techniques of maximum likelihood and subspace for estimating the system's impulse response, and other techniques for direct estimation of the system input are reviewed.
References
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Journal ArticleDOI
Maximum-likelihood sequence estimation of digital sequences in the presence of intersymbol interference
TL;DR: In this paper, a maximum likelihood sequence estimator for a digital pulse-amplitude-modulated sequence in the presence of finite intersymbol interference and white Gaussian noise is developed, which comprises a sampled linear filter, called a whitened matched filter, and a recursive nonlinear processor, called the Viterbi algorithm.
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Self-Recovering Equalization and Carrier Tracking in Two-Dimensional Data Communication Systems
TL;DR: This paper solves the general problem of adaptive channel equalization without resorting to a known training sequence or to conditions of limited distortion.
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Analysis of recursive stochastic algorithms
TL;DR: It is shown how a deterministic differential equation can be associated with the algorithm and examples of applications of the results to problems in identification and adaptive control.
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A Method of Self-Recovering Equalization for Multilevel Amplitude-Modulation Systems
TL;DR: A self-recovering equalization algorithm, which is employed in multilevel amplitude-modulated data transmission, is presented and the convergence processes of the present self-reaching equalizer are shown by computer simulation.